Part 1. A certain helix in three-dimensional space is described by the equations x = cos theta, y = sin theta, and z = theta. Calculate the line integral, along one loop of this helix, of the dot product V

An LED that emits light of wavelength λ = 614 nm illuminates the phototube. A reverse bias is applied to the phototube (a voltage that opposes the current flow). This is adjusted carefully until the photocurrent drops to zero. The stopping potential is found to be Vo = 0.162 V.

The LED can now be changed and the process repeated for a different λ. Then the data can be plotted to determine Planck's constant, h.

For the data collected above what value would you plot on the x-axis of your graph? (Use c = 3.00 x 108m/s.)

Express your answer in SI units to 3 significant figures.

Entering numbers in scientific notation: Example: 1.45 x 10-9 should be entered as 1.45E-9

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A wheel has an initial angular velocity of 1 rad/s and undergoes an angular acceleration of 10 rad/s^2. (a) How many radians does it rotate in 4 sec? (b) What is its angular velocity at this time?

An alpha particle with kinetic energy 12.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.30×10⁻¹² m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)

Part A

What is the distance of closest approach?

Part B

Repeat for b=1.50×10⁻¹³ m .

Part C

Repeat for b=1.30×10⁻¹⁴ m .

The heat capacity, Cp, of liquid carbon disulfide is a relatively constant 78J(molK). However, the heat capacity of solid carbon disulfide varies greatly with temperature. From 99K to its melting point at 161K, the heat capacity of solid carbon disulfide increases linearly from 44 J/(molK) to 57 J/(molK).

The enthalpy of fusion of carbon disulfide is 4390 J/mol.

The absolute entropy of liquid carbon disulfide at 298K is 151 K/(molK).

Estimate the absolute entropy of carbon disulfide at 99K.

a projectile is launched from ground level to the top of a cliff which is 95 m away and 155 m high. If the projectile lands on top of the cliff 7.6 s after it is fired, what was its initial velocity? (Be careful what you assume).

Demonstrate that the ground-state wave function for the one-dimensional harmonic oscillator satisfies the appropriate Schrodinger's equation

An arrow strikes the target at the end of a 27-meter-long lane. It lands at an angle of 4 degrees below the horizontal. What is the initial velocity at which the arrow was launched? Assume that the initial velocity toward the target is entirely horizontal and the angel of the arrow in the target is the direction of the final velocity.

3 boxes, having masses m1=5kg, m2=10kg and m3=15 kg are stacked "sideways" (i.e., in x-) on a surface with coefficient of kinetic friction 0.7 mu_k; an external force of magnitude 15 N pushes on the right-most box, making an angle of 30 degrees relative to the horizontal; a second force of magnitude 20 N pushes in the opposite direction on the left-most box, as a result of which all three accelerate uniformly. Determine the numerical value all of the forces acting on each of the boxes (including all normal forces between the boxes), as well as the amount the boxes have moved after a time of 7 seconds. Keep in mind that the normal force acting specifically on the box subject to the external force is changed by the external force...

please make a diagram

Please Show work

1) A certain medical machine emits x-rays with a minimum wavelength of 0.025 nm. One day, the machine has an electrical problem and the voltage applied to the x-ray tube decreases to 74% of its normal value. Now what is the minimum x-ray wavelength produced by the machine?

?min = _________ nm

2) What is the maximum x-ray energy this machine (with electrical problems) can produce?

Emax = _________ eV

3) The atomic number of an element is 82. According to the Bohr model, what is the energy of a K? x-ray photon?

E = ___________ eV

A yo-yo has a rotational inertia of 900 g · cm2 and a mass of 100 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed?

1. Water is in the big beaker in the figure on the left. Scale 1 reads 58 newtons, scale 2 reads 908 newtons, and scale 3 reads 0 newtons. The hanging block has a density of 10

1. Four masses of values 3, 7, 2 and 5Kg lie at the corners of a rectangle of dimensions 8 by 7 m (x by y). Placing the 3kg mass at the origin and the 7Kg mass along the x-axis and the 2 kg mass on the y-axis and the 5kg mass at the point (8,7), where is the center of mass of the system.

How would you connect a pair of equal resistors across a battery in order to get the most power dissipation in the resistors?